Transformation of functions

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

• Vertical stretch by a factor of ¼

• Vertical shrink by a factor of ¼

• Vertical stretch by a factor of 8 

• Vertical shrink by a factor of 8 

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5
• Vertical stretch be a factor of 5
• Vertically shrink by a factor of 1/5
•  Horizontal stretch by a factor of 5

g(x) = 2/3f(x)

• horizontal stretch by a factor of 2/3

• horizontal compression by a factor of 2/3

• vertical stretch by a factor of 2/3

• vertical compression by a factor of 2/3

If the blue function is f(x)=√x, the red function must be

• g(x)=√(-x)
• g(x)=√(x-1)
• g(x)=√x-1
• g(x)=-√x

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• reflection in x-axis then shifted up five units

• reflection in x-axis then shifted down five units

• reflection x-axis then shifted left 5 units

• reflection x-axis then shifted right 5 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of this graph?

• f(x) = (x + 2)² - 3
• f(x) = (x - 2)² - 3
• f(x) = |x + 2| - 3
• f(x) = |x - 2| - 3